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Published on: May 30, 2014
Measurement-based quantum computation on symmetry breaking thermal States
Keisuke Fujii1, Yoshifumi Nakata2, Masayuki Ohzeki3
1Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka 560-8531, Japan.
Abstract:
We consider measurement-based quantum computation (MBQC) on thermal states of the interacting cluster Hamiltonian containing interactions between the cluster stabilizers that undergoes thermal phase transitions. We show that the long-range order of the symmetry breaking thermal states below a critical temperature drastically enhances the robustness of MBQC against thermal excitations. Specifically, we show the enhancement in two-dimensional cases and prove that MBQC is topologically protected below the critical temperature in three-dimensional cases. The interacting cluster Hamiltonian allows us to perform MBQC even at a temperature 1 order of magnitude higher than that of the free cluster Hamiltonian.
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